The Surface Characteristic of the Film Flow under Different Surface Tension and Uneven Bottom

Abstract

In the paper, with the change of the relation between the Bond numbers and 1/3, the different control equations with different dispersion item was obtained for the surface wave of film under uneven bottom. The equation under tension and bottom was reduced from the potential flow theory with the little parameter perturbation technique, and then was solved by using the numerical method. The waterfall of the surface wave was simulated with Matlab software. The results show that different surface tension and different bottom has different effect on the film surface.